Proof of Goldbach’s Conjecture and Bertrand’s Postulate Using Prime Generator Theory (PGT)

Goldbach’s Conjecture states every even integer n > 2 can be written as the sum of 2 primes, while Bertrand’s Postulate states for each n ≥ 2 there is at least one prime p such that n < p < 2n. I show both are essentially statements on the primes distribution, and their inherent properties when modeled and understood as the residues of modular groups Zn. In addition, a much tighter dynamic bound on p than given by the BP will be presented